In- and Out-of-plane Vibrations of a Rotating Plate with Frictional Contact: Investigations on Squeal Phenomena
In- and Out-of-plane Vibrations of a Rotating Plate with Frictional Contact: Investigations on Squeal Phenomena
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DOI：
10.1115/1.3112734
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发表时间：
2009-07
期刊：
影响因子：
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通讯作者：
G. Spelsberg-Korspeter;D. Hochlenert;Oleg N. Kirillov;P. Hagedorn
中科院分区：
文献类型：
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作者：
G. Spelsberg-Korspeter;D. Hochlenert;Oleg N. Kirillov;P. Hagedorn
旋转板在各种应用中用作主要部件。它们的振动主要是不需要的，并且会干扰整个系统的功能。本文研究了旋转环形基尔霍夫板在其表面存在分布式摩擦载荷的情况下盘（面内）和板（面外）振动的耦合。边值问题是使用基尔霍夫假设从弹性理论的基础导出的。这会产生有关摩擦力作用下磁盘和板振动之间耦合的精确信息。同时我们得到了一个新的模型，该模型可以有效地进行分析处理。使用扰动方法计算系统稳定性边界的近似值。在本文的最后部分，引入了非线性，导致自激振动导致极限环。
Rotating plates are used as a main component in various applications. Their vibrations are mainly unwanted and interfere with the functioning of the complete system. The present paper investigates the coupling of disk (in-plane) and plate (out-of-plane) vibrations of a rotating annular Kirchhoff plate in the presence of a distributed frictional loading on its surface. The boundary value problem is derived from the basics of the theory of elasticity using Kirchhoff’s assumptions. This results in precise information about the coupling between the disk and the plate vibrations under the action of frictional forces. At the same time we obtain a new model, which is efficient for analytical treatment. Approximations to the stability boundaries of the system are calculated using a perturbation approach. In the last part of the paper nonlinearities are introduced leading to limit cycles due to self-excited vibrations.